Abstract: We study the cusp anomalous dimension in N = 6 ABJ(M) theory, identifying a scaling limit in which the ladder diagrams dominate. The resummation is encoded into a Bethe-Salpeter equation that is mapped to a Schroedinger problem, exactly solvable due to the surprising supersymmetry of the effective Hamiltonian. In the ABJ case the solution implies the diagonalization of the U(N) and U(M) building blocks, suggesting the existence of two independent cusp anomalous dimensions and an unexpected exponentiation structure for the related Wilson loops. While consistent with previous perturbative analysis, the strong coupling limit of our result does not agree with the string theory computation, emphasizing a difference with the analogous resummation in the N = 4 case.

Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension / Bonini, Marisa; Griguolo, Luca; Preti, Michelangelo; Seminara, Domenico. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1126-6708. - 2016:5(2016). [10.1007/JHEP05(2016)180]

Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension

BONINI, Marisa;GRIGUOLO, Luca;PRETI, Michelangelo;
2016

Abstract

Abstract: We study the cusp anomalous dimension in N = 6 ABJ(M) theory, identifying a scaling limit in which the ladder diagrams dominate. The resummation is encoded into a Bethe-Salpeter equation that is mapped to a Schroedinger problem, exactly solvable due to the surprising supersymmetry of the effective Hamiltonian. In the ABJ case the solution implies the diagonalization of the U(N) and U(M) building blocks, suggesting the existence of two independent cusp anomalous dimensions and an unexpected exponentiation structure for the related Wilson loops. While consistent with previous perturbative analysis, the strong coupling limit of our result does not agree with the string theory computation, emphasizing a difference with the analogous resummation in the N = 4 case.
Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension / Bonini, Marisa; Griguolo, Luca; Preti, Michelangelo; Seminara, Domenico. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1126-6708. - 2016:5(2016). [10.1007/JHEP05(2016)180]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11381/2815698
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